IPT2018-Problem3- Ink Tree (Voronezh State University, Russia)

IPT2018 Problem 3 Ink Tree Voronezh State University: When a drop of ink is injected inside especially still water, or dropped very close to its surface, it firstly forms a ring of ink which then divides into smaller rings. The process repeats again and again and forms a tree-like structure of ink. What is the maximal number of ring divisions that one can see and how does it depend on the important parameters?